[825] | 1 | MODULE limtrp |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE limtrp *** |
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| 4 | !! LIM transport ice model : sea-ice advection/diffusion |
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| 5 | !!====================================================================== |
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[2715] | 6 | !! History : LIM-2 ! 2000-01 (M.A. Morales Maqueda, H. Goosse, and T. Fichefet) Original code |
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| 7 | !! 3.0 ! 2005-11 (M. Vancoppenolle) Multi-layer sea ice, salinity variations |
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| 8 | !! 4.0 ! 2011-02 (G. Madec) dynamical allocation |
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| 9 | !!---------------------------------------------------------------------- |
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[825] | 10 | #if defined key_lim3 |
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| 11 | !!---------------------------------------------------------------------- |
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[834] | 12 | !! 'key_lim3' LIM3 sea-ice model |
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[825] | 13 | !!---------------------------------------------------------------------- |
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| 14 | !! lim_trp : advection/diffusion process of sea ice |
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| 15 | !!---------------------------------------------------------------------- |
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[3625] | 16 | USE phycst ! physical constant |
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| 17 | USE dom_oce ! ocean domain |
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| 18 | USE sbc_oce ! ocean surface boundary condition |
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| 19 | USE par_ice ! ice parameter |
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| 20 | USE dom_ice ! ice domain |
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| 21 | USE ice ! ice variables |
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| 22 | USE limadv ! ice advection |
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| 23 | USE limhdf ! ice horizontal diffusion |
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| 24 | USE in_out_manager ! I/O manager |
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| 25 | USE lbclnk ! lateral boundary conditions -- MPP exchanges |
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| 26 | USE lib_mpp ! MPP library |
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| 27 | USE wrk_nemo ! work arrays |
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| 28 | USE prtctl ! Print control |
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| 29 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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[4161] | 30 | USE limvar ! clem for ice thickness correction |
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| 31 | USE timing ! Timing |
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[4688] | 32 | USE limcons ! conservation tests |
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[825] | 33 | |
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| 34 | IMPLICIT NONE |
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| 35 | PRIVATE |
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| 36 | |
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[2715] | 37 | PUBLIC lim_trp ! called by ice_step |
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[825] | 38 | |
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[4161] | 39 | REAL(wp) :: epsi10 = 1.e-10_wp |
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[4688] | 40 | REAL(wp) :: epsi20 = 1.e-20_wp |
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[825] | 41 | |
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| 42 | !! * Substitution |
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| 43 | # include "vectopt_loop_substitute.h90" |
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| 44 | !!---------------------------------------------------------------------- |
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[4161] | 45 | !! NEMO/LIM3 4.0 , UCL - NEMO Consortium (2011) |
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[1156] | 46 | !! $Id$ |
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[2715] | 47 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[825] | 48 | !!---------------------------------------------------------------------- |
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| 49 | CONTAINS |
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| 50 | |
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[921] | 51 | SUBROUTINE lim_trp( kt ) |
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[825] | 52 | !!------------------------------------------------------------------- |
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| 53 | !! *** ROUTINE lim_trp *** |
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| 54 | !! |
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| 55 | !! ** purpose : advection/diffusion process of sea ice |
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| 56 | !! |
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| 57 | !! ** method : variables included in the process are scalar, |
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| 58 | !! other values are considered as second order. |
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| 59 | !! For advection, a second order Prather scheme is used. |
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| 60 | !! |
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| 61 | !! ** action : |
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| 62 | !!--------------------------------------------------------------------- |
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[2715] | 63 | INTEGER, INTENT(in) :: kt ! number of iteration |
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| 64 | ! |
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| 65 | INTEGER :: ji, jj, jk, jl, layer ! dummy loop indices |
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| 66 | INTEGER :: initad ! number of sub-timestep for the advection |
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[2777] | 67 | INTEGER :: ierr ! error status |
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[4161] | 68 | REAL(wp) :: zindb , zindsn , zindic, zindh, zinda ! local scalar |
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[4205] | 69 | REAL(wp) :: zcfl , zusnit ! - - |
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[4688] | 70 | REAL(wp) :: zsal , zage ! - - |
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[2715] | 71 | ! |
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[3294] | 72 | REAL(wp), POINTER, DIMENSION(:,:) :: zui_u, zvi_v, zsm, zs0at, zs0ow |
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| 73 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zs0ice, zs0sn, zs0a, zs0c0 , zs0sm , zs0oi |
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| 74 | REAL(wp), POINTER, DIMENSION(:,:,:,:) :: zs0e |
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[4161] | 75 | ! mass and salt flux (clem) |
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[4688] | 76 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zviold, zvsold ! old ice volume... |
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[4161] | 77 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zaiold, zhimax ! old ice concentration and thickness |
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[4688] | 78 | REAL(wp), POINTER, DIMENSION(:,:) :: zeiold, zesold ! old enthalpies |
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| 79 | REAL(wp) :: zdv, zda, zvi, zvs, zsmv, zes, zei |
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| 80 | ! |
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| 81 | REAL(wp) :: zvi_b, zsmv_b, zei_b, zfs_b, zfw_b, zft_b |
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[2715] | 82 | !!--------------------------------------------------------------------- |
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[4161] | 83 | IF( nn_timing == 1 ) CALL timing_start('limtrp') |
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[825] | 84 | |
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[4688] | 85 | CALL wrk_alloc( jpi, jpj, zui_u, zvi_v, zsm, zs0at, zs0ow, zeiold, zesold ) |
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[3294] | 86 | CALL wrk_alloc( jpi, jpj, jpl, zs0ice, zs0sn, zs0a, zs0c0 , zs0sm , zs0oi ) |
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| 87 | CALL wrk_alloc( jpi, jpj, jkmax, jpl, zs0e ) |
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[825] | 88 | |
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[4688] | 89 | CALL wrk_alloc( jpi, jpj, jpl, zaiold, zhimax, zviold, zvsold ) ! clem |
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[4161] | 90 | |
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[2715] | 91 | IF( numit == nstart .AND. lwp ) THEN |
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| 92 | WRITE(numout,*) |
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| 93 | IF( ln_limdyn ) THEN ; WRITE(numout,*) 'lim_trp : Ice transport ' |
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| 94 | ELSE ; WRITE(numout,*) 'lim_trp : No ice advection as ln_limdyn = ', ln_limdyn |
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| 95 | ENDIF |
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| 96 | WRITE(numout,*) '~~~~~~~~~~~~' |
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| 97 | ENDIF |
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| 98 | |
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[825] | 99 | zsm(:,:) = area(:,:) |
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| 100 | |
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[2715] | 101 | ! !-------------------------------------! |
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| 102 | IF( ln_limdyn ) THEN ! Advection of sea ice properties ! |
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| 103 | ! !-------------------------------------! |
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[4688] | 104 | |
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| 105 | ! conservation test |
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| 106 | IF( ln_limdiahsb ) CALL lim_cons_hsm(0, 'limtrp', zvi_b, zsmv_b, zei_b, zfw_b, zfs_b, zft_b) |
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| 107 | |
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[4161] | 108 | ! mass and salt flux init (clem) |
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| 109 | zviold(:,:,:) = v_i(:,:,:) |
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[4688] | 110 | zeiold(:,:) = SUM( SUM( e_i(:,:,1:nlay_i,:), dim=4 ), dim=3 ) |
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| 111 | zesold(:,:) = SUM( SUM( e_s(:,:,1:nlay_s,:), dim=4 ), dim=3 ) |
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[825] | 112 | |
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[4161] | 113 | !--- Thickness correction init. (clem) ------------------------------- |
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| 114 | CALL lim_var_glo2eqv |
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| 115 | zaiold(:,:,:) = a_i(:,:,:) |
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| 116 | !--------------------------------------------------------------------- |
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| 117 | ! Record max of the surrounding ice thicknesses for correction in limupdate |
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| 118 | ! in case advection creates ice too thick. |
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| 119 | !--------------------------------------------------------------------- |
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| 120 | zhimax(:,:,:) = ht_i(:,:,:) |
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| 121 | DO jl = 1, jpl |
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| 122 | DO jj = 2, jpjm1 |
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| 123 | DO ji = 2, jpim1 |
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| 124 | zhimax(ji,jj,jl) = MAXVAL( ht_i(ji-1:ji+1,jj-1:jj+1,jl) ) |
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| 125 | !zhimax(ji,jj,jl) = ( ht_i(ji ,jj ,jl) * tmask(ji, jj ,1) + ht_i(ji-1,jj-1,jl) * tmask(ji-1,jj-1,1) + ht_i(ji+1,jj+1,jl) * tmask(ji+1,jj+1,1) & |
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| 126 | ! & + ht_i(ji-1,jj ,jl) * tmask(ji-1,jj ,1) + ht_i(ji ,jj-1,jl) * tmask(ji ,jj-1,1) & |
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| 127 | ! & + ht_i(ji+1,jj ,jl) * tmask(ji+1,jj ,1) + ht_i(ji ,jj+1,jl) * tmask(ji ,jj+1,1) & |
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| 128 | ! & + ht_i(ji-1,jj+1,jl) * tmask(ji-1,jj+1,1) + ht_i(ji+1,jj-1,jl) * tmask(ji+1,jj-1,1) ) |
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| 129 | END DO |
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| 130 | END DO |
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| 131 | CALL lbc_lnk(zhimax(:,:,jl),'T',1.) |
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| 132 | END DO |
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| 133 | |
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[825] | 134 | !------------------------- |
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[2715] | 135 | ! transported fields |
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[825] | 136 | !------------------------- |
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[2715] | 137 | ! Snow vol, ice vol, salt and age contents, area |
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| 138 | zs0ow(:,:) = ato_i(:,:) * area(:,:) ! Open water area |
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| 139 | DO jl = 1, jpl |
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| 140 | zs0sn (:,:,jl) = v_s (:,:,jl) * area(:,:) ! Snow volume |
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| 141 | zs0ice(:,:,jl) = v_i (:,:,jl) * area(:,:) ! Ice volume |
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| 142 | zs0a (:,:,jl) = a_i (:,:,jl) * area(:,:) ! Ice area |
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| 143 | zs0sm (:,:,jl) = smv_i(:,:,jl) * area(:,:) ! Salt content |
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| 144 | zs0oi (:,:,jl) = oa_i (:,:,jl) * area(:,:) ! Age content |
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| 145 | zs0c0 (:,:,jl) = e_s (:,:,1,jl) ! Snow heat content |
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| 146 | zs0e (:,:,:,jl) = e_i (:,:,:,jl) ! Ice heat content |
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[825] | 147 | END DO |
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| 148 | |
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[2715] | 149 | !-------------------------- |
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| 150 | ! Advection of Ice fields (Prather scheme) |
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| 151 | !-------------------------- |
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[825] | 152 | ! If ice drift field is too fast, use an appropriate time step for advection. |
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[2715] | 153 | ! CFL test for stability |
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| 154 | zcfl = MAXVAL( ABS( u_ice(:,:) ) * rdt_ice / e1u(:,:) ) |
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| 155 | zcfl = MAX( zcfl, MAXVAL( ABS( v_ice(:,:) ) * rdt_ice / e2v(:,:) ) ) |
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| 156 | IF(lk_mpp ) CALL mpp_max( zcfl ) |
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| 157 | !!gm more readability: |
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| 158 | ! IF( zcfl > 0.5 ) THEN ; initad = 2 ; zusnit = 0.5_wp |
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| 159 | ! ELSE ; initad = 1 ; zusnit = 1.0_wp |
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| 160 | ! ENDIF |
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| 161 | !!gm end |
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[4688] | 162 | initad = 1 + NINT( MAX( 0._wp, SIGN( 1._wp, zcfl-0.5 ) ) ) |
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[825] | 163 | zusnit = 1.0 / REAL( initad ) |
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[2715] | 164 | IF( zcfl > 0.5 .AND. lwp ) & |
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[3625] | 165 | WRITE(numout,*) 'lim_trp : CFL violation at day ', nday, ', cfl = ', zcfl, & |
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[2715] | 166 | & ': the ice time stepping is split in two' |
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[921] | 167 | |
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[2715] | 168 | IF( MOD( ( kt - 1) / nn_fsbc , 2 ) == 0 ) THEN !== odd ice time step: adv_x then adv_y ==! |
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[825] | 169 | DO jk = 1,initad |
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[4688] | 170 | CALL lim_adv_x( zusnit, u_ice, 1._wp , zsm, zs0ow (:,:), sxopw(:,:), & !--- ice open water area |
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[2715] | 171 | & sxxopw(:,:), syopw(:,:), syyopw(:,:), sxyopw(:,:) ) |
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[4688] | 172 | CALL lim_adv_y( zusnit, v_ice, 0._wp, zsm, zs0ow (:,:), sxopw(:,:), & |
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[2715] | 173 | & sxxopw(:,:), syopw(:,:), syyopw(:,:), sxyopw(:,:) ) |
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[825] | 174 | DO jl = 1, jpl |
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[4688] | 175 | CALL lim_adv_x( zusnit, u_ice, 1._wp , zsm, zs0ice(:,:,jl), sxice(:,:,jl), & !--- ice volume --- |
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[2715] | 176 | & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) ) |
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[4688] | 177 | CALL lim_adv_y( zusnit, v_ice, 0._wp, zsm, zs0ice(:,:,jl), sxice(:,:,jl), & |
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[2715] | 178 | & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) ) |
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[4688] | 179 | CALL lim_adv_x( zusnit, u_ice, 1._wp , zsm, zs0sn (:,:,jl), sxsn (:,:,jl), & !--- snow volume --- |
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[2715] | 180 | & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) ) |
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[4688] | 181 | CALL lim_adv_y( zusnit, v_ice, 0._wp, zsm, zs0sn (:,:,jl), sxsn (:,:,jl), & |
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[2715] | 182 | & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) ) |
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[4688] | 183 | CALL lim_adv_x( zusnit, u_ice, 1._wp , zsm, zs0sm (:,:,jl), sxsal(:,:,jl), & !--- ice salinity --- |
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[2715] | 184 | & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) ) |
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[4688] | 185 | CALL lim_adv_y( zusnit, v_ice, 0._wp, zsm, zs0sm (:,:,jl), sxsal(:,:,jl), & |
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[2715] | 186 | & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) ) |
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[4688] | 187 | CALL lim_adv_x( zusnit, u_ice, 1._wp , zsm, zs0oi (:,:,jl), sxage(:,:,jl), & !--- ice age --- |
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[2715] | 188 | & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) ) |
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[4688] | 189 | CALL lim_adv_y( zusnit, v_ice, 0._wp, zsm, zs0oi (:,:,jl), sxage(:,:,jl), & |
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[2715] | 190 | & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) ) |
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[4688] | 191 | CALL lim_adv_x( zusnit, u_ice, 1._wp , zsm, zs0a (:,:,jl), sxa (:,:,jl), & !--- ice concentrations --- |
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[2715] | 192 | & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) ) |
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[4688] | 193 | CALL lim_adv_y( zusnit, v_ice, 0._wp, zsm, zs0a (:,:,jl), sxa (:,:,jl), & |
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[2715] | 194 | & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) ) |
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[4688] | 195 | CALL lim_adv_x( zusnit, u_ice, 1._wp , zsm, zs0c0 (:,:,jl), sxc0 (:,:,jl), & !--- snow heat contents --- |
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[2715] | 196 | & sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) ) |
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[4688] | 197 | CALL lim_adv_y( zusnit, v_ice, 0._wp, zsm, zs0c0 (:,:,jl), sxc0 (:,:,jl), & |
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[2715] | 198 | & sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) ) |
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| 199 | DO layer = 1, nlay_i !--- ice heat contents --- |
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[4688] | 200 | CALL lim_adv_x( zusnit, u_ice, 1._wp , zsm, zs0e(:,:,layer,jl), sxe (:,:,layer,jl), & |
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[2715] | 201 | & sxxe(:,:,layer,jl), sye (:,:,layer,jl), & |
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| 202 | & syye(:,:,layer,jl), sxye(:,:,layer,jl) ) |
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[4688] | 203 | CALL lim_adv_y( zusnit, v_ice, 0._wp, zsm, zs0e(:,:,layer,jl), sxe (:,:,layer,jl), & |
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[2715] | 204 | & sxxe(:,:,layer,jl), sye (:,:,layer,jl), & |
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| 205 | & syye(:,:,layer,jl), sxye(:,:,layer,jl) ) |
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[825] | 206 | END DO |
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| 207 | END DO |
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| 208 | END DO |
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| 209 | ELSE |
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| 210 | DO jk = 1, initad |
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[4688] | 211 | CALL lim_adv_y( zusnit, v_ice, 1._wp , zsm, zs0ow (:,:), sxopw(:,:), & !--- ice open water area |
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[2715] | 212 | & sxxopw(:,:), syopw(:,:), syyopw(:,:), sxyopw(:,:) ) |
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[4688] | 213 | CALL lim_adv_x( zusnit, u_ice, 0._wp, zsm, zs0ow (:,:), sxopw(:,:), & |
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[2715] | 214 | & sxxopw(:,:), syopw(:,:), syyopw(:,:), sxyopw(:,:) ) |
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[825] | 215 | DO jl = 1, jpl |
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[4688] | 216 | CALL lim_adv_y( zusnit, v_ice, 1._wp , zsm, zs0ice(:,:,jl), sxice(:,:,jl), & !--- ice volume --- |
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[2715] | 217 | & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) ) |
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[4688] | 218 | CALL lim_adv_x( zusnit, u_ice, 0._wp, zsm, zs0ice(:,:,jl), sxice(:,:,jl), & |
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[2715] | 219 | & sxxice(:,:,jl), syice(:,:,jl), syyice(:,:,jl), sxyice(:,:,jl) ) |
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[4688] | 220 | CALL lim_adv_y( zusnit, v_ice, 1._wp , zsm, zs0sn (:,:,jl), sxsn (:,:,jl), & !--- snow volume --- |
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[2715] | 221 | & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) ) |
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[4688] | 222 | CALL lim_adv_x( zusnit, u_ice, 0._wp, zsm, zs0sn (:,:,jl), sxsn (:,:,jl), & |
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[2715] | 223 | & sxxsn (:,:,jl), sysn (:,:,jl), syysn (:,:,jl), sxysn (:,:,jl) ) |
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[4688] | 224 | CALL lim_adv_y( zusnit, v_ice, 1._wp , zsm, zs0sm (:,:,jl), sxsal(:,:,jl), & !--- ice salinity --- |
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[2715] | 225 | & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) ) |
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[4688] | 226 | CALL lim_adv_x( zusnit, u_ice, 0._wp, zsm, zs0sm (:,:,jl), sxsal(:,:,jl), & |
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[2715] | 227 | & sxxsal(:,:,jl), sysal(:,:,jl), syysal(:,:,jl), sxysal(:,:,jl) ) |
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| 228 | |
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[4688] | 229 | CALL lim_adv_y( zusnit, v_ice, 1._wp , zsm, zs0oi (:,:,jl), sxage(:,:,jl), & !--- ice age --- |
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[2715] | 230 | & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) ) |
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[4688] | 231 | CALL lim_adv_x( zusnit, u_ice, 0._wp, zsm, zs0oi (:,:,jl), sxage(:,:,jl), & |
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[2715] | 232 | & sxxage(:,:,jl), syage(:,:,jl), syyage(:,:,jl), sxyage(:,:,jl) ) |
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[4688] | 233 | CALL lim_adv_y( zusnit, v_ice, 1._wp , zsm, zs0a (:,:,jl), sxa (:,:,jl), & !--- ice concentrations --- |
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[2715] | 234 | & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) ) |
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[4688] | 235 | CALL lim_adv_x( zusnit, u_ice, 0._wp, zsm, zs0a (:,:,jl), sxa (:,:,jl), & |
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[2715] | 236 | & sxxa (:,:,jl), sya (:,:,jl), syya (:,:,jl), sxya (:,:,jl) ) |
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[4688] | 237 | CALL lim_adv_y( zusnit, v_ice, 1._wp , zsm, zs0c0 (:,:,jl), sxc0 (:,:,jl), & !--- snow heat contents --- |
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[2715] | 238 | & sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) ) |
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[4688] | 239 | CALL lim_adv_x( zusnit, u_ice, 0._wp, zsm, zs0c0 (:,:,jl), sxc0 (:,:,jl), & |
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[2715] | 240 | & sxxc0 (:,:,jl), syc0 (:,:,jl), syyc0 (:,:,jl), sxyc0 (:,:,jl) ) |
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| 241 | DO layer = 1, nlay_i !--- ice heat contents --- |
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[4688] | 242 | CALL lim_adv_y( zusnit, v_ice, 1._wp , zsm, zs0e(:,:,layer,jl), sxe (:,:,layer,jl), & |
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[2715] | 243 | & sxxe(:,:,layer,jl), sye (:,:,layer,jl), & |
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| 244 | & syye(:,:,layer,jl), sxye(:,:,layer,jl) ) |
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[4688] | 245 | CALL lim_adv_x( zusnit, u_ice, 0._wp, zsm, zs0e(:,:,layer,jl), sxe (:,:,layer,jl), & |
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[2715] | 246 | & sxxe(:,:,layer,jl), sye (:,:,layer,jl), & |
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| 247 | & syye(:,:,layer,jl), sxye(:,:,layer,jl) ) |
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[825] | 248 | END DO |
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| 249 | END DO |
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| 250 | END DO |
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| 251 | ENDIF |
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| 252 | |
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| 253 | !------------------------------------------- |
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| 254 | ! Recover the properties from their contents |
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| 255 | !------------------------------------------- |
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[2715] | 256 | zs0ow(:,:) = zs0ow(:,:) / area(:,:) |
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[825] | 257 | DO jl = 1, jpl |
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| 258 | zs0ice(:,:,jl) = zs0ice(:,:,jl) / area(:,:) |
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| 259 | zs0sn (:,:,jl) = zs0sn (:,:,jl) / area(:,:) |
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| 260 | zs0sm (:,:,jl) = zs0sm (:,:,jl) / area(:,:) |
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| 261 | zs0oi (:,:,jl) = zs0oi (:,:,jl) / area(:,:) |
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| 262 | zs0a (:,:,jl) = zs0a (:,:,jl) / area(:,:) |
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[4688] | 263 | ! |
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[825] | 264 | END DO |
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| 265 | |
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[921] | 266 | !------------------------------------------------------------------------------! |
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| 267 | ! 4) Diffusion of Ice fields |
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| 268 | !------------------------------------------------------------------------------! |
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[825] | 269 | |
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[2715] | 270 | !-------------------------------- |
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| 271 | ! diffusion of open water area |
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| 272 | !-------------------------------- |
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| 273 | zs0at(:,:) = zs0a(:,:,1) ! total ice fraction |
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| 274 | DO jl = 2, jpl |
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| 275 | zs0at(:,:) = zs0at(:,:) + zs0a(:,:,jl) |
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| 276 | END DO |
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| 277 | ! |
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| 278 | ! ! Masked eddy diffusivity coefficient at ocean U- and V-points |
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| 279 | DO jj = 1, jpjm1 ! NB: has not to be defined on jpj line and jpi row |
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| 280 | DO ji = 1 , fs_jpim1 ! vector opt. |
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[4688] | 281 | pahu(ji,jj) = ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -zs0at(ji ,jj) ) ) ) & |
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| 282 | & * ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -zs0at(ji+1,jj) ) ) ) * ahiu(ji,jj) |
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| 283 | pahv(ji,jj) = ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -zs0at(ji,jj ) ) ) ) & |
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| 284 | & * ( 1._wp - MAX( 0._wp, SIGN( 1._wp,- zs0at(ji,jj+1) ) ) ) * ahiv(ji,jj) |
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[2715] | 285 | END DO |
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| 286 | END DO |
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| 287 | ! |
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| 288 | CALL lim_hdf( zs0ow (:,:) ) ! Diffusion |
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| 289 | |
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[921] | 290 | !------------------------------------ |
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[2715] | 291 | ! Diffusion of other ice variables |
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[921] | 292 | !------------------------------------ |
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[825] | 293 | DO jl = 1, jpl |
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[2715] | 294 | ! ! Masked eddy diffusivity coefficient at ocean U- and V-points |
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| 295 | DO jj = 1, jpjm1 ! NB: has not to be defined on jpj line and jpi row |
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| 296 | DO ji = 1 , fs_jpim1 ! vector opt. |
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[4688] | 297 | pahu(ji,jj) = ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -zs0a(ji ,jj,jl) ) ) ) & |
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| 298 | & * ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -zs0a(ji+1,jj,jl) ) ) ) * ahiu(ji,jj) |
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| 299 | pahv(ji,jj) = ( 1._wp - MAX( 0._wp, SIGN( 1._wp, -zs0a(ji,jj ,jl) ) ) ) & |
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| 300 | & * ( 1._wp - MAX( 0._wp, SIGN( 1._wp,- zs0a(ji,jj+1,jl) ) ) ) * ahiv(ji,jj) |
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[825] | 301 | END DO |
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[921] | 302 | END DO |
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[825] | 303 | |
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| 304 | CALL lim_hdf( zs0ice (:,:,jl) ) |
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| 305 | CALL lim_hdf( zs0sn (:,:,jl) ) |
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| 306 | CALL lim_hdf( zs0sm (:,:,jl) ) |
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| 307 | CALL lim_hdf( zs0oi (:,:,jl) ) |
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| 308 | CALL lim_hdf( zs0a (:,:,jl) ) |
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| 309 | CALL lim_hdf( zs0c0 (:,:,jl) ) |
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| 310 | DO jk = 1, nlay_i |
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| 311 | CALL lim_hdf( zs0e (:,:,jk,jl) ) |
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[2715] | 312 | END DO |
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| 313 | END DO |
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[825] | 314 | |
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[921] | 315 | !------------------------------------------------------------------------------! |
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| 316 | ! 5) Update and limit ice properties after transport |
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| 317 | !------------------------------------------------------------------------------! |
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[825] | 318 | |
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[921] | 319 | !-------------------------------------------------- |
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| 320 | ! 5.1) Recover mean values over the grid squares. |
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| 321 | !-------------------------------------------------- |
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[2715] | 322 | zs0at(:,:) = 0._wp |
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[825] | 323 | DO jl = 1, jpl |
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| 324 | DO jj = 1, jpj |
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| 325 | DO ji = 1, jpi |
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[4688] | 326 | zs0sn (ji,jj,jl) = MAX( 0._wp, zs0sn (ji,jj,jl) ) |
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| 327 | zs0ice(ji,jj,jl) = MAX( 0._wp, zs0ice(ji,jj,jl) ) |
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| 328 | zs0sm (ji,jj,jl) = MAX( 0._wp, zs0sm (ji,jj,jl) ) |
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| 329 | zs0oi (ji,jj,jl) = MAX( 0._wp, zs0oi (ji,jj,jl) ) |
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| 330 | zs0a (ji,jj,jl) = MAX( 0._wp, zs0a (ji,jj,jl) ) |
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| 331 | zs0c0 (ji,jj,jl) = MAX( 0._wp, zs0c0 (ji,jj,jl) ) |
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[825] | 332 | zs0at (ji,jj) = zs0at(ji,jj) + zs0a(ji,jj,jl) |
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| 333 | END DO |
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| 334 | END DO |
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| 335 | END DO |
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| 336 | |
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[921] | 337 | !--------------------------------------------------------- |
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[4688] | 338 | ! 5.2) Update and mask variables |
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[921] | 339 | !--------------------------------------------------------- |
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[4688] | 340 | DO jl = 1, jpl |
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[825] | 341 | DO jj = 1, jpj |
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| 342 | DO ji = 1, jpi |
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[4688] | 343 | zindb= MAX( 0._wp , SIGN( 1._wp, zs0a(ji,jj,jl) - epsi10 ) ) |
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| 344 | |
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| 345 | zvi = zs0ice(ji,jj,jl) |
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| 346 | zvs = zs0sn (ji,jj,jl) |
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| 347 | zes = zs0c0 (ji,jj,jl) |
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| 348 | zsmv = zs0sm (ji,jj,jl) |
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[2715] | 349 | ! |
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[4688] | 350 | ! Remove very small areas |
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| 351 | v_s(ji,jj,jl) = zindb * zs0sn (ji,jj,jl) |
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| 352 | v_i(ji,jj,jl) = zindb * zs0ice(ji,jj,jl) |
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| 353 | a_i(ji,jj,jl) = zindb * zs0a (ji,jj,jl) |
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| 354 | e_s(ji,jj,1,jl) = zindb * zs0c0 (ji,jj,jl) |
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| 355 | ! Ice salinity and age |
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| 356 | IF( num_sal == 2 ) THEN |
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| 357 | smv_i(ji,jj,jl) = MAX( MIN( s_i_max * v_i(ji,jj,jl), zsmv ), s_i_min * v_i(ji,jj,jl) ) |
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| 358 | ENDIF |
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| 359 | oa_i(ji,jj,jl) = MAX( zindb * zs0oi(ji,jj,jl) / MAX( a_i(ji,jj,jl), epsi10 ), 0._wp ) * a_i(ji,jj,jl) |
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| 360 | |
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| 361 | ! Update fluxes |
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| 362 | wfx_res(ji,jj) = wfx_res(ji,jj) - ( v_i(ji,jj,jl) - zvi ) * rhoic * r1_rdtice |
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| 363 | wfx_snw(ji,jj) = wfx_snw(ji,jj) - ( v_s(ji,jj,jl) - zvs ) * rhosn * r1_rdtice |
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| 364 | sfx_res(ji,jj) = sfx_res(ji,jj) - ( smv_i(ji,jj,jl) - zsmv ) * rhoic * r1_rdtice |
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| 365 | hfx_res(ji,jj) = hfx_res(ji,jj) + ( e_s(ji,jj,1,jl) - zes ) * unit_fac / area(ji,jj) * r1_rdtice ! W.m-2 <0 |
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[4161] | 366 | END DO |
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| 367 | END DO |
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| 368 | END DO |
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| 369 | |
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[4688] | 370 | DO jl = 1, jpl |
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| 371 | DO jk = 1, nlay_i |
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| 372 | DO jj = 1, jpj |
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| 373 | DO ji = 1, jpi |
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| 374 | zindb = MAX( 0._wp , SIGN( 1._wp, zs0a(ji,jj,jl) - epsi10 ) ) |
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| 375 | zei = zs0e(ji,jj,jk,jl) |
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| 376 | e_i(ji,jj,jk,jl) = zindb * MAX( 0._wp, zs0e(ji,jj,jk,jl) ) |
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| 377 | ! Update fluxes |
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| 378 | hfx_res(ji,jj) = hfx_res(ji,jj) + ( e_i(ji,jj,jk,jl) - zei ) * unit_fac / area(ji,jj) * r1_rdtice ! W.m-2 <0 |
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| 379 | END DO !ji |
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| 380 | END DO ! jj |
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| 381 | END DO ! jk |
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| 382 | END DO ! jl |
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| 383 | |
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[4161] | 384 | !--- Thickness correction in case too high (clem) -------------------------------------------------------- |
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| 385 | CALL lim_var_glo2eqv |
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| 386 | DO jl = 1, jpl |
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| 387 | DO jj = 1, jpj |
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| 388 | DO ji = 1, jpi |
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| 389 | |
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| 390 | IF ( v_i(ji,jj,jl) > 0._wp ) THEN |
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[4688] | 391 | zvi = v_i (ji,jj,jl) |
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| 392 | zvs = v_s (ji,jj,jl) |
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| 393 | zsmv = smv_i(ji,jj,jl) |
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| 394 | zes = e_s (ji,jj,1,jl) |
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| 395 | zei = SUM( e_i(ji,jj,:,jl) ) |
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| 396 | zdv = v_i(ji,jj,jl) - zviold(ji,jj,jl) |
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[4161] | 397 | !zda = a_i(ji,jj,jl) - zaiold(ji,jj,jl) |
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| 398 | |
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| 399 | zindh = 1._wp |
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| 400 | IF ( ( zdv > 0.0 .AND. ht_i(ji,jj,jl) > zhimax(ji,jj,jl) .AND. SUM( zaiold(ji,jj,1:jpl) ) < 0.80 ) .OR. & |
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| 401 | & ( zdv < 0.0 .AND. ht_i(ji,jj,jl) > zhimax(ji,jj,jl) ) ) THEN |
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| 402 | ht_i(ji,jj,jl) = MIN( zhimax(ji,jj,jl), hi_max(jl) ) |
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[4688] | 403 | zindh = MAX( 0._wp, SIGN( 1._wp, ht_i(ji,jj,jl) - epsi20 ) ) |
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| 404 | a_i(ji,jj,jl) = zindh * v_i(ji,jj,jl) / MAX( ht_i(ji,jj,jl), epsi20 ) |
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[4161] | 405 | ELSE |
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| 406 | ht_i(ji,jj,jl) = MAX( MIN( ht_i(ji,jj,jl), hi_max(jl) ), hi_max(jl-1) ) |
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[4688] | 407 | zindh = MAX( 0._wp, SIGN( 1._wp, ht_i(ji,jj,jl) - epsi20 ) ) |
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| 408 | a_i(ji,jj,jl) = zindh * v_i(ji,jj,jl) / MAX( ht_i(ji,jj,jl), epsi20 ) |
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[4161] | 409 | ENDIF |
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| 410 | |
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| 411 | ! small correction due to *zindh for a_i |
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[4688] | 412 | v_i (ji,jj,jl) = zindh * v_i (ji,jj,jl) |
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| 413 | v_s (ji,jj,jl) = zindh * v_s (ji,jj,jl) |
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| 414 | smv_i(ji,jj,jl) = zindh * smv_i(ji,jj,jl) |
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| 415 | e_s(ji,jj,1,jl) = zindh * e_s(ji,jj,1,jl) |
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| 416 | e_i(ji,jj,:,jl) = zindh * e_i(ji,jj,:,jl) |
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[4161] | 417 | |
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| 418 | ! Update mass fluxes |
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[4688] | 419 | wfx_res(ji,jj) = wfx_res(ji,jj) - ( v_i(ji,jj,jl) - zvi ) * rhoic * r1_rdtice |
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| 420 | wfx_snw(ji,jj) = wfx_snw(ji,jj) - ( v_s(ji,jj,jl) - zvs ) * rhosn * r1_rdtice |
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| 421 | sfx_res(ji,jj) = sfx_res(ji,jj) - ( smv_i(ji,jj,jl) - zsmv ) * rhoic * r1_rdtice |
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| 422 | hfx_res(ji,jj) = hfx_res(ji,jj) + ( e_s(ji,jj,1,jl) - zes ) * unit_fac / area(ji,jj) * r1_rdtice ! W.m-2 <0 |
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| 423 | hfx_res(ji,jj) = hfx_res(ji,jj) + ( SUM( e_i(ji,jj,:,jl) ) - zei ) * unit_fac / area(ji,jj) * r1_rdtice ! W.m-2 <0 |
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[4161] | 424 | |
---|
| 425 | ENDIF |
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| 426 | |
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| 427 | diag_trp_vi(ji,jj) = diag_trp_vi(ji,jj) + ( v_i(ji,jj,jl) - zviold(ji,jj,jl) ) * r1_rdtice |
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[4688] | 428 | diag_trp_vs(ji,jj) = diag_trp_vs(ji,jj) + ( v_s(ji,jj,jl) - zvsold(ji,jj,jl) ) * r1_rdtice |
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[4161] | 429 | |
---|
[825] | 430 | END DO |
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| 431 | END DO |
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| 432 | END DO |
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[4688] | 433 | ! ------------------------------------------------- |
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[825] | 434 | |
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[4688] | 435 | ! --- diags --- |
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[825] | 436 | DO jj = 1, jpj |
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| 437 | DO ji = 1, jpi |
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[4688] | 438 | diag_trp_ei(ji,jj) = ( SUM( e_i(ji,jj,1:nlay_i,:) ) - zeiold(ji,jj) ) / area(ji,jj) * unit_fac * r1_rdtice |
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| 439 | diag_trp_es(ji,jj) = ( SUM( e_s(ji,jj,1:nlay_s,:) ) - zesold(ji,jj) ) / area(ji,jj) * unit_fac * r1_rdtice |
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[825] | 440 | END DO |
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| 441 | END DO |
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| 442 | |
---|
[4688] | 443 | ! --- agglomerate variables (clem) ----------------- |
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| 444 | vt_i (:,:) = 0._wp |
---|
| 445 | vt_s (:,:) = 0._wp |
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| 446 | at_i (:,:) = 0._wp |
---|
| 447 | ! |
---|
[825] | 448 | DO jl = 1, jpl |
---|
| 449 | DO jj = 1, jpj |
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| 450 | DO ji = 1, jpi |
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[4688] | 451 | ! |
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| 452 | vt_i(ji,jj) = vt_i(ji,jj) + v_i(ji,jj,jl) ! ice volume |
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| 453 | vt_s(ji,jj) = vt_s(ji,jj) + v_s(ji,jj,jl) ! snow volume |
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| 454 | at_i(ji,jj) = at_i(ji,jj) + a_i(ji,jj,jl) ! ice concentration |
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| 455 | END DO |
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| 456 | END DO |
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| 457 | END DO |
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| 458 | ! ------------------------------------------------- |
---|
[825] | 459 | |
---|
[4688] | 460 | ! open water |
---|
[4161] | 461 | DO jj = 1, jpj |
---|
| 462 | DO ji = 1, jpi |
---|
[4688] | 463 | ! open water = 1 if at_i=0 |
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| 464 | zindb = MAX( 0._wp , SIGN( 1._wp, - at_i(ji,jj) ) ) |
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| 465 | ato_i(ji,jj) = zindb + (1._wp - zindb ) * zs0ow(ji,jj) |
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[4161] | 466 | END DO |
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[4688] | 467 | END DO |
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[4161] | 468 | |
---|
[4688] | 469 | ! conservation test |
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| 470 | IF( ln_limdiahsb ) CALL lim_cons_hsm(1, 'limtrp', zvi_b, zsmv_b, zei_b, zfw_b, zfs_b, zft_b) |
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[4161] | 471 | |
---|
[825] | 472 | ENDIF |
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| 473 | |
---|
[863] | 474 | IF(ln_ctl) THEN ! Control print |
---|
[867] | 475 | CALL prt_ctl_info(' ') |
---|
| 476 | CALL prt_ctl_info(' - Cell values : ') |
---|
| 477 | CALL prt_ctl_info(' ~~~~~~~~~~~~~ ') |
---|
[863] | 478 | CALL prt_ctl(tab2d_1=area , clinfo1=' lim_trp : cell area :') |
---|
| 479 | CALL prt_ctl(tab2d_1=at_i , clinfo1=' lim_trp : at_i :') |
---|
| 480 | CALL prt_ctl(tab2d_1=vt_i , clinfo1=' lim_trp : vt_i :') |
---|
| 481 | CALL prt_ctl(tab2d_1=vt_s , clinfo1=' lim_trp : vt_s :') |
---|
| 482 | DO jl = 1, jpl |
---|
[867] | 483 | CALL prt_ctl_info(' ') |
---|
[863] | 484 | CALL prt_ctl_info(' - Category : ', ivar1=jl) |
---|
| 485 | CALL prt_ctl_info(' ~~~~~~~~~~') |
---|
| 486 | CALL prt_ctl(tab2d_1=a_i (:,:,jl) , clinfo1= ' lim_trp : a_i : ') |
---|
| 487 | CALL prt_ctl(tab2d_1=ht_i (:,:,jl) , clinfo1= ' lim_trp : ht_i : ') |
---|
| 488 | CALL prt_ctl(tab2d_1=ht_s (:,:,jl) , clinfo1= ' lim_trp : ht_s : ') |
---|
| 489 | CALL prt_ctl(tab2d_1=v_i (:,:,jl) , clinfo1= ' lim_trp : v_i : ') |
---|
| 490 | CALL prt_ctl(tab2d_1=v_s (:,:,jl) , clinfo1= ' lim_trp : v_s : ') |
---|
| 491 | CALL prt_ctl(tab2d_1=e_s (:,:,1,jl) , clinfo1= ' lim_trp : e_s : ') |
---|
| 492 | CALL prt_ctl(tab2d_1=t_su (:,:,jl) , clinfo1= ' lim_trp : t_su : ') |
---|
| 493 | CALL prt_ctl(tab2d_1=t_s (:,:,1,jl) , clinfo1= ' lim_trp : t_snow : ') |
---|
| 494 | CALL prt_ctl(tab2d_1=sm_i (:,:,jl) , clinfo1= ' lim_trp : sm_i : ') |
---|
| 495 | CALL prt_ctl(tab2d_1=smv_i (:,:,jl) , clinfo1= ' lim_trp : smv_i : ') |
---|
| 496 | DO jk = 1, nlay_i |
---|
[867] | 497 | CALL prt_ctl_info(' ') |
---|
[863] | 498 | CALL prt_ctl_info(' - Layer : ', ivar1=jk) |
---|
| 499 | CALL prt_ctl_info(' ~~~~~~~') |
---|
| 500 | CALL prt_ctl(tab2d_1=t_i(:,:,jk,jl) , clinfo1= ' lim_trp : t_i : ') |
---|
| 501 | CALL prt_ctl(tab2d_1=e_i(:,:,jk,jl) , clinfo1= ' lim_trp : e_i : ') |
---|
| 502 | END DO |
---|
| 503 | END DO |
---|
| 504 | ENDIF |
---|
[2715] | 505 | ! |
---|
[4688] | 506 | CALL wrk_dealloc( jpi, jpj, zui_u, zvi_v, zsm, zs0at, zs0ow, zeiold, zesold ) |
---|
[3294] | 507 | CALL wrk_dealloc( jpi, jpj, jpl, zs0ice, zs0sn, zs0a, zs0c0 , zs0sm , zs0oi ) |
---|
| 508 | CALL wrk_dealloc( jpi, jpj, jkmax, jpl, zs0e ) |
---|
[4161] | 509 | |
---|
[4688] | 510 | CALL wrk_dealloc( jpi, jpj, jpl, zviold, zvsold, zaiold, zhimax ) ! clem |
---|
[2715] | 511 | ! |
---|
[4161] | 512 | IF( nn_timing == 1 ) CALL timing_stop('limtrp') |
---|
[825] | 513 | END SUBROUTINE lim_trp |
---|
| 514 | |
---|
| 515 | #else |
---|
| 516 | !!---------------------------------------------------------------------- |
---|
| 517 | !! Default option Empty Module No sea-ice model |
---|
| 518 | !!---------------------------------------------------------------------- |
---|
| 519 | CONTAINS |
---|
| 520 | SUBROUTINE lim_trp ! Empty routine |
---|
| 521 | END SUBROUTINE lim_trp |
---|
| 522 | #endif |
---|
| 523 | |
---|
| 524 | !!====================================================================== |
---|
| 525 | END MODULE limtrp |
---|